Index character associated with the projective Dirac operator
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Abstract:
We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated with any closed oriented Riemannian manifold. It encompasses the fractional index formula of the projective Dirac operators by Mathai–Melrose–Singer. Our method can be regarded as the calculation of a topological index for such operators.References
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Additional Information
- Makoto Yamashita
- Affiliation: School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, Wales, United Kingdom
- Address at time of publication: Dipartimento di Matematica, Università degli Studi di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Rome, Italy
- Email: makotoy@ms.u-tokyo.ac.jp
- Received by editor(s): February 3, 2011
- Received by editor(s) in revised form: November 10, 2011
- Published electronically: April 30, 2013
- Additional Notes: This work has been supported by the Marie Curie Research Training Network MRTN-CT-2006-031962 in Noncommutative Geometry, EU-NCG
- Communicated by: Varghese Mathai
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2923-2932
- MSC (2010): Primary 58J22; Secondary 35K05
- DOI: https://doi.org/10.1090/S0002-9939-2013-11588-1
- MathSciNet review: 3056582